I think Aunt May in ASM2 infers why this idea won't be pursued further, its about putting the baggage somewhere more manageable so as not to become consumed by it. Furthermore, Peter's vendetta in the first film was cited by Captain Stacy as the factor that undermined any potentially heroic aspect of Spider-Man's actions. I thought the concept of Peter's revenge was handled poorly in the first trilogy with the death of the first robber in SM1 then emo-Toby attempting to kill retconned-murderer-Sandman in SM3. Unless its well thought out, I wouldn't want the new franchise exploring this angle too much.

I could maybe see him finding out that it was per-arranged for Ben to be killed.. with the Burglar still just being some random street thug
(but, then it becomes a question of do you blame the man who pulled the trigger or the man who hired him)